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Finding the Fourth Proportional to 723,548, 998,496.24 and 401,307.44

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Solution

The fourth proportional to 723,548, 998,496.24 and 401,307.44 is: 553,804.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    723,548 : 998,496.24 = 401,307.44 : x
  2. Step 2: Convert to fraction form
    723,548/998,496.24 = 401,307.44/x
  3. Step 3: Cross multiply
    723,548x = 998,496.24 × 401,307.44
  4. Step 4: Simplify right side
    723,548x = 400,703,969,924.03
  5. Step 5: Solve for x
    x = 400,703,969,924.03/723,548
  6. Step 6: Final answer
    x = 553,804.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.